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Finding the Fourth Proportional to 306,879.90, 459,749.61 and 166,756.38

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Solution

The fourth proportional to 306,879.90, 459,749.61 and 166,756.38 is: 249,824.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,879.90 : 459,749.61 = 166,756.38 : x
  2. Step 2: Convert to fraction form
    306,879.90/459,749.61 = 166,756.38/x
  3. Step 3: Cross multiply
    306,879.90x = 459,749.61 × 166,756.38
  4. Step 4: Simplify right side
    306,879.90x = 76,666,180,670.01
  5. Step 5: Solve for x
    x = 76,666,180,670.01/306,879.90
  6. Step 6: Final answer
    x = 249,824.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.